If `A=((0,0),(1,1))` then the value of `A+A^2+A3...A^n=`

If A=([0,01,1]) then the value of A+A^(2)+A3...A^(n)=

An equivalence relation R in A divides it into equivalence classes A1,A2, A3.What is the value of A1uu A2uu A3 and A1nn A2nn A3 ?

If A=[(1,0,0),(0,1,0),(3,4,-1)] and A^(n)=l , then value of n is equal to

If (1+x)^10 = a0 + a1 x + a2 x^2 + a3 x^3 + a4 x^4 + a5 x^5 + a6 x^6 +.... a10 x^10), then the value of ( a0 - a2 + a4 - a6 + a8 -a10)^2 + (a1 - a3 + a5 -a7 + a9)^2 is :

An equivalence relation R in A divides it into equivalence classes A_1 ,A_2 ,A_3 What is the value of A_1 uu A_2 uu A_3 and A_1 nn A_2 nn A_3